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Finding the Third Proportional to 3,814,938 and 5,346,621

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Solution

The third proportional to 3,814,938 and 5,346,621 is: 7,493,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814,938 : 5,346,621 = 5,346,621 : x
  2. Step 2: Convert to fraction form
    3,814,938/5,346,621 = 5,346,621/x
  3. Step 3: Cross multiply
    3,814,938x = 5,346,621 × 5,346,621
  4. Step 4: Simplify right side
    3,814,938x = 28,586,356,117,641
  5. Step 5: Solve for x
    x = 28,586,356,117,641/3,814,938
  6. Step 6: Final answer
    x = 7,493,268.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.